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Finding the Third Proportional to 10,834,968 and 22,566,747

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Solution

The third proportional to 10,834,968 and 22,566,747 is: 47,001,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834,968 : 22,566,747 = 22,566,747 : x
  2. Step 2: Convert to fraction form
    10,834,968/22,566,747 = 22,566,747/x
  3. Step 3: Cross multiply
    10,834,968x = 22,566,747 × 22,566,747
  4. Step 4: Simplify right side
    10,834,968x = 509,258,070,162,009
  5. Step 5: Solve for x
    x = 509,258,070,162,009/10,834,968
  6. Step 6: Final answer
    x = 47,001,345.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.